Greatest Common Factor of 2674/63, 1742/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2674/63, 1742/176

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2674/63,1742/176

Given fractions are 2674/63,1742/176

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2674,1742

Greatest Common Factor of Numerators i.e. GCF of 2674,1742 is 2 .

LCM of Denominators means LCM of 63,176 as per the given fractions.

LCM of 63,176 is 11088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2674,1742

GCF of Fractions 2674/63,1742/176 is 2/11088

2 2674, 1742
1337, 871

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2674,1742 By Matching Biggest Common Factor Method

Greatest Common Factor of 2674,1742 By Matching Biggest Common Factor Method

Factors of 2674

List of positive integer factors of 2674 that divides 2674 without a remainder.

1,2,7,14,191,382,1337,2674

Factors of 1742

List of positive integer factors of 1742 that divides 1742 without a remainder.

1,2,13,26,67,134,871,1742

Greatest Common Factor

We found the factors 2674,1742 . The biggest common factor number is the GCF number.
So the greatest common factor 2674,1742 is 2.

Lets's calculate LCM of 63,176

Given numbers has no common factors except 1. So, there LCM is their product i.e 11088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11088

Therefore, the GCF of Fractions 2674/63,1742/176 is 2/11088

Least Common Multiple of 63,176 with GCF Formula

Least Common Multiple of 63,176 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 63,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,176) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(63,176) x common factors =1 x 1 = 1

LCM(63,176) = ( 63 × 176 ) / 1

LCM(63,176) = 11088 / 1

LCM(63,176) = 11088


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2674/63, 1742/176

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 2674/63, 1742/176?

Answer: GCF of Numerators as per given numbers 2674/63, 1742/176 is

GCF of Numerators i.e. for 2674,1742 is 2

LCM of denominators i.e. for 63,176 is 11088.

Thus, GCF of Fractions is 2/11088.Finally, GCF of Fractions for 2674/63, 1742/176 is 2/11088.